What is the Greatest Common Factor of 55014 and 55032?

Greatest common factor (GCF) of 55014 and 55032 is 6.

GCF(55014,55032) = 6

We will now calculate the prime factors of 55014 and 55032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55014 and 55032.

How to find the GCF of 55014 and 55032?

We will first find the prime factorization of 55014 and 55032. After we will calculate the factors of 55014 and 55032 and find the biggest common factor number .

Step-1: Prime Factorization of 55014

Prime factors of 55014 are 2, 3, 53, 173. Prime factorization of 55014 in exponential form is:

55014 = 2¹ × 3¹ × 53¹ × 173¹

Step-2: Prime Factorization of 55032

Prime factors of 55032 are 2, 3, 2293. Prime factorization of 55032 in exponential form is:

55032 = 2³ × 3¹ × 2293¹

Step-3: Factors of 55014

List of positive integer factors of 55014 that divides 55014 without a remainder.

1, 2, 3, 6, 53, 106, 159, 173, 318, 346, 519, 1038, 9169, 18338, 27507

Step-4: Factors of 55032

List of positive integer factors of 55032 that divides 55014 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2293, 4586, 6879, 9172, 13758, 18344, 27516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55014 and 55032. The biggest common factor number is the GCF number.
So the greatest common factor 55014 and 55032 is 6.

Also check out the Least Common Multiple of 55014 and 55032